MUSIC AND MATHEMATICS.


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http://www.dailyutahchronicle.com/news/2004/11/09/News/Professor.Connects.Art.And.Science-798252.shtml

".. .In today's universities and academic circles, the norm is a clear division between sciences and the arts. . .



Using Raphael's painting "School of Athens," Greenan explained how the schooling of ancient Greece was designed in a manner that grouped mathematics and other technical sciences together with music.



http://en.wikipedia.org/wiki/Polygon

http://en.wikipedia.org/wiki/Music#Music_and_math

http://tonalsoft.com/enc/index2.htm?lattice.htm



Drawing from a wide array of sources, Greenan presented how mathematics is a system of symbols that represents natural, real-world systems. Music, she maintained, is similar, as it use a series of symbols to portray natural, acoustic systems. . .


Details of the origin of the first systems of music were traced back to Pythagoras and how he discovered the mathematic ratios behind pitches and intervals. Greenan continued through history mentioning scholars in different fields and how the scientific work they did applied to music. . ."
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